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Graph the solution sets of the following inequations: x \geq y-2
CBSE | Class 12 | Exercise 33A | Linear Programming | Maths | RS Aggarwal
Graph the solution sets of the following inequations: x \geq y-2

Given x \geq y-2
\Rightarrow \mathrm{y} \leq \mathrm{x}+2
Consider the equation y=x+2
Finding points on the coordinate axes:
If x=0, the y value is 2 i.e, y=2
\Rightarrow the point on the Y axis is A(0,2)
If y=0,0=x+2
\Rightarrow \mathrm{x}=-2
The point on the X axis is B(-2,0)
Plotting the points on the graph: fig. 5 a

Now consider the inequality y \leq x+2
Here we need the y value less than or equal to x+2
\Rightarrow the required region is below point A.
Therefore the graph of the inequation x \geq y-2 is fig. 5 b

i

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